What is the Least Common Multiple of 94605 and 94613?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 94605 and 94613 is 8950862865.
LCM(94605,94613) = 8950862865
Least Common Multiple of 94605 and 94613 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94605 and 94613, than apply into the LCM equation.
GCF(94605,94613) = 1
LCM(94605,94613) = ( 94605 × 94613) / 1
LCM(94605,94613) = 8950862865 / 1
LCM(94605,94613) = 8950862865
Least Common Multiple (LCM) of 94605 and 94613 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94605 and 94613. First we will calculate the prime factors of 94605 and 94613.
Prime Factorization of 94605
Prime factors of 94605 are 3, 5, 7, 17, 53. Prime factorization of 94605 in exponential form is:
94605 = 31 × 51 × 71 × 171 × 531
Prime Factorization of 94613
Prime factors of 94613 are 94613. Prime factorization of 94613 in exponential form is:
94613 = 946131
Now multiplying the highest exponent prime factors to calculate the LCM of 94605 and 94613.
LCM(94605,94613) = 31 × 51 × 71 × 171 × 531 × 946131
LCM(94605,94613) = 8950862865
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